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We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger…

High Energy Physics - Theory · Physics 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-$N$ Nambu-Jona-Lasinio model. We take into account size-dependent…

High Energy Physics - Theory · Physics 2011-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson

Chiral phase properties of finite size hadronic systems are investigated within the Nambu--Jona-Lasinio model. Finite size effects are taken into account by making use of the multiple reflection expansion. We find that, for droplets with…

High Energy Physics - Phenomenology · Physics 2009-11-07 O. Kiriyama , A. Hosaka

We discuss the finite-size effects on the chiral phase transition in QCD. We employ the Nambu-Jona-Lasinio model and calculate the thermodynamic potential in the mean-field approximation. Finite-size effects on the thermodynamic potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Kiriyama , T. Kodama , T. Koide

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva

In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and…

High Energy Physics - Phenomenology · Physics 2022-03-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We discuss the chiral phase diagram in the model. We include the…

High Energy Physics - Phenomenology · Physics 2018-12-21 Ken-Ichi Aoki , Daisuke Sato , Masatoshi Yamada

The finite-size effect on the chiral phase transition is investigated in the Nambu--Jona-Lasinio model. To take into account finite-size effects, momentum integrals are replaced by momentum summations. The ground state of quark matter at…

High Energy Physics - Phenomenology · Physics 2019-04-03 Kun Xu , Mei Huang

We study finite volume effects within the Polyakov loop Nambu-Jona-Lasinio model for two light and one heavy quarks at vanishing baryon chemical potential and finite temperatures. We include three different Polyakov loop potentials and…

High Energy Physics - Phenomenology · Physics 2018-08-24 A. G. Grunfeld , G. Lugones

Within the framework of Polyakov-Nambu-Jona-Lasinio model and by means of Multiple Reflection Expansion, we study the finite volume effects on chiral phase transition, especially its influence on the location of the possible critical end…

High Energy Physics - Phenomenology · Physics 2018-12-27 Zhao Ya-Peng , Yin Pei-Lin , Yu Zhen-Hua , Zong Hong-Shi

The properties of two-flavored massless Nambu-Jona-Lasinio model in (1+1)-dimensional $R^1\times S^1$ spacetime with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials $\mu_I$,…

High Energy Physics - Phenomenology · Physics 2015-05-28 D. Ebert , T. G. Khunjua , K. G. Klimenko , V. Ch. Zhukovsky

We study the chiral phase transition inside a rotating cylinder within the framework of the Namb--Jona-Lasinio model. A spectral boundary condition is imposed to avoid faster than light. We investigate how the geometry of the cylinder and…

High Energy Physics - Phenomenology · Physics 2020-12-17 Zheng Zhang , Chao Shi , Xiao-Tao He , Xiaofeng Luo , Hong-Shi Zong

The nonet meson properties are studied in the Nambu-Jona-Lasinio model at finite temperature and chemical potential using dimensional regularization. This study leads to the reasonable description which is mainly similar to one obtained in…

High Energy Physics - Phenomenology · Physics 2013-05-30 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

The effective restoration of chiral and axial symmetries is investigated within the framework of the SU(3) Nambu-Jona-Lasinio model. The topological susceptibility, modeled from lattice data at finite temperature, is used to extract the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic…

High Energy Physics - Phenomenology · Physics 2020-02-19 Zheng Zhang , Chao Shi , Hongshi Zong

The effective dimensional reduction of fermion-antifermion pairing dinamics in Nambu-Jona-Lasinio model in external chromomagnetic field is considered. It is shown that such a field causes the reduction of the space dimension by one unit in…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Shovkovy , V. M. Turkowski

With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model, we investigate the finite volume effects in the presence of magnetic fields. Since the coupling constant $G$ can be influenced by strong magnetic fields, the model…

High Energy Physics - Phenomenology · Physics 2023-09-27 Shou-Zheng Su , Ye-Yin Zhao , Xin-Jian Wen

The gravitational effect on the chiral phase structure at finite temperature and density is investigated in the framework of Nambu--Jona-Lasinio model in $D$-dimensional ultrastatic Einstein universe. In mean field approximation, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xuguang Huang , Xuewen Hao , Pengfei Zhuang

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

We study the chiral phase transition of the two-flavor Nambu-Jona-Lasinio (NJL) model in a rotating sphere, which includes both rotation and finite size effects. We find that rotation leads to a suppression of the chiral condensate at a…

Nuclear Theory · Physics 2020-04-29 Zheng Zhang , Chao Shi , Xiaofeng Luo , Hong-Shi Zong
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